14881464 has 72 divisors (see below), whose sum is σ = 43678440. Its totient is φ = 4575168.

The previous prime is 14881417. The next prime is 14881481. The reversal of 14881464 is 46418841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11557 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (606645).

Almost surely, 2^14881464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14881464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839220).

14881464 is an abundant number, since it is smaller than the sum of its proper divisors (28796976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14881464 is a wasteful number, since it uses less digits than its factorization.

14881464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1241 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14881464 is about 3857.6500618900. The cubic root of 14881464 is about 245.9698555171.

The spelling of 14881464 in words is "fourteen million, eight hundred eighty-one thousand, four hundred sixty-four".